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104312312412 = 223711467241739
BaseRepresentation
bin110000100100101111…
…1111001001001011100
3100222020201000111210020
41201021133321021130
53202112422444122
6115530450512140
710351646011620
oct1411137711134
9328221014706
10104312312412
1140269643260
1218271b95650
139ab50501a9
145097a71180
152aa7b01c5c
hex18497f925c

104312312412 has 96 divisors (see below), whose sum is σ = 304105052160. Its totient is φ = 27035977920.

The previous prime is 104312312407. The next prime is 104312312437. The reversal of 104312312412 is 214213213401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310639 + ... + 552377.

It is an arithmetic number, because the mean of its divisors is an integer number (3167760960).

Almost surely, 2104312312412 is an apocalyptic number.

104312312412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104312312412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152052526080).

104312312412 is an abundant number, since it is smaller than the sum of its proper divisors (199792739748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104312312412 is a wasteful number, since it uses less digits than its factorization.

104312312412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242231 (or 242229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104312312412 its reverse (214213213401), we get a palindrome (318525525813).

The spelling of 104312312412 in words is "one hundred four billion, three hundred twelve million, three hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 467 924 934 1401 1868 2802 3269 5137 5604 6538 9807 10274 13076 15411 19614 20548 30822 35959 39228 61644 71918 107877 143836 215754 241739 431508 483478 725217 966956 1450434 1692173 2659129 2900868 3384346 5076519 5318258 6768692 7977387 10153038 10636516 15954774 18613903 20306076 31909548 37227806 55841709 74455612 111683418 112892113 223366836 225784226 338676339 451568452 677352678 790244791 1241813243 1354705356 1580489582 2370734373 2483626486 3160979164 3725439729 4741468746 4967252972 7450879458 8692692701 9482937492 14901758916 17385385402 26078078103 34770770804 52156156206 104312312412